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                [Poi1999]多边形之战                </h1>
                <p>时间限制：1s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div style="text-indent: 21.25pt"><span style="font-size: medium">多边形之战是一个双人游戏。游戏在一个有n个顶点的凸多边形上进行，这个凸多边形的n-3条对角线将多边形分成n-2个三角形，这n-3条对角线在多边形的顶点相交。三角形中的一个被染成黑色，其余是白色。双方轮流进行游戏，当轮到一方时，他必须沿着画好的对角线，从多边形上切下一个三角形。切下黑色三角形的一方获胜。</span></div>
<div style="text-indent: 21.25pt"><span style="font-size: medium">注：如果连接一个多边形中任意两点的线段都完全包含于这个多边形，则称这个多边形为凸多边形。</span></div>
<div style="margin: 13pt 0cm"><span style="font-size: medium"><b><span style="line-height: 173%">求解任务：</span></b></span></div>
<div><span style="font-size: medium">请设计一个程序：</span></div>
<div><span style="font-size: medium">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &middot;读入对一个多边形的描述。</span></div>
<div style="text-indent: 21.25pt"><span style="font-size: medium">&middot;确定先走的一方是否能够获胜。</span></div>
<div style="text-indent: 21.25pt"><span style="font-size: medium">&middot;将结果输出。</span></div></p><hr/><h3>输入格式</h3><p><div style="margin: 13pt 0cm"><span style="font-size: medium">第一行是一个整数， 4 &lt;= n &lt;= 50000。表示多边形的顶点数，多边形的顶点从0到n-1顺时针标号。接着的n-2行描述组成多边形的三角形。第i+1行， 1 &lt;= i &lt;= n-2，有三个空格分隔的非负整数a、 b、 c，它们是第i个三角形的顶点编号。第一个给出的三角形是黑色的。</span></div></p><hr/><h3>输出格式</h3><p><div style="text-indent: 21.25pt"><span style="font-size: medium">唯一一行应包含一个单词：</span></div>
<div style="text-indent: 21.25pt"><span style="font-size: medium">TAK（波兰文&ldquo;是&rdquo;)，表示先走的一方有必胜策略，或者</span></div>
<div style="text-indent: 21.25pt"><span style="font-size: medium">NIE（波兰文&ldquo;否&rdquo;），表示先走的一方没有必胜策略。</span></div>
<div><span style="font-size: medium">&nbsp;</span></div></p><hr/><h3>样例输入</h3><pre>6
0 1 2
2 4 3
4 2 0
0 5 4
 
</pre><hr/><h3>样例输出</h3><pre>TAK</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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